%%
%% main.tex
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%% Made by Alex Nelson
%% Login   <alex@tomato>
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%% Started on  Sun May 31 10:38:38 2009 Alex Nelson
%% Last update Sun May 31 10:38:38 2009 Alex Nelson
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\documentclass[draft]{amsart}
\usepackage{danger}
\usepackage{brackets}
\usepackage{fly}
\usepackage{mathrsfs} % for mathscr used in defining a basis
\usepackage{xmpincl}
\includexmp{license}
\numberwithin{equation}{section}

\title{Notes on Topology}
\date{May 31, 2009}
\email{pqnelson@gmail.com}
\author{Alex Nelson}
\begin{document}
\begin{abstract}
Topology is the study of boundaries. We usually think of an ``open
set'' as not containing its boundary, and a ``closed set'' as one that
contains its boundary. We generalize these notions in topology
suitably. 
\end{abstract}
\maketitle
\tableofcontents
%\chapter{Topology}
\section{Introduction}
\input{intro}
\part{Act I: Topological Spaces}
\section{Properties of Sets}
\input{sets}
\section{Topological Spaces}
\input{topology}
\section{Basis For Topological Spaces}
\input{basis}
\section{Continuous Functions}
\input{continuous}
\section{Closed Sets}
\input{closedSets}
\part{Act II: Construction of Topological Spaces}
\section{The Order Topology}
\input{orderTopology}
\section{The Product Topology}
\input{productTopology}
\part{Act III: Properties of Topological Spaces}
\section{Connectedness}
\input{connectedSpaces}

\nocite{munkres,mccluskeyMcMaster,morris}
\bibliographystyle{plain}
\bibliography{topology}

\end{document}
